Yn. Gornostyrev et al., Fluctuation-induced nucleation and dynamics of kinks on dislocation: Soliton and oscillation regimes in the two-dimensional Frenkel-Kontorova model, PHYS REV B, 60(2), 1999, pp. 1013-1018
Numerical simulation of the dislocation motion in two-dimensional Frenkel-K
ontorova model in the thermostat shows an unusual dynamical behavior. It ap
pears that "kink" regime of dislocation gliding takes place in a certain re
gion of parameters of the model but, in disagreement with the common views
about the dislocation motion under plastic deformation condition, the kinks
appear to be similar to sine-Gordon solitons despite the discreteness of t
he lattice, damping, and thermal fluctuations. At high enough stresses and
temperatures the motion of the dislocation is accompanied by its oscillatio
ns rather than kink nucleation. [S0163-1829(99)02125-6].